Khan Academy Video 1 (Gradient vs. Directional Derivative) #khanacademytalentsearch

[ehinspections]

This video has to be the best explanation of the Gradient in YouTube, well done!

[joereadman]

can we all just take a moment to appreciate that she managed to write the word 'gradient' whilst spelling the word 'tail' out loud? this is a talent!

[wwmheat]

Wow, it's a standing ovation!! Having watched all the great content available now in 2022 on this topic (3b1b, Grant's explanation in Khan academy and others), I still couldn't get why directional derivative can be expressed by gradient and dot product.. I mean, it certainly makes sense as a vague statement, it has an intuitive support, but I couldn't get it rigorously, including how it can be derived purely in terms of definition of derivative. And now finally it's crystal-clear!

[ozzyfromspace]

2:57 When she said "at any rate..." I immediately thought of professor Herbert Gross (an extraordinary MIT math educator from the 1960's). I like Rhonda's style and pace of teaching, it's almost like a conversation. Best wishes!

[muralidhar]

I was hopping from one video after the other on youtube to find the difference between DD and Gradient, My journey has come to an end. Thank you madam/miss.

[scottkelly]

I see you just made this video a few months ago. I hope you make some more videos. This was the best youtube video on any topic on Calculus I have watched. I find that most videos rush into an example or start off a concept slow and when it gets to the abstract part speed it up. This one stays consistent throughout and maybe even slows down to help the viewer. This was just great.

[yj]

Thank you very much for your video, Rhonda! It’s been a very long time ever since I first studied it, and I can tell you this. Despite all fashionable, computational stuff of our days, there’s nothing like the old school way to learn calculus! You covered the whole package in 14 minutes. Thank you again!

[robjows]

Amzing Video. In my Calculus 1 class we've jumped from Integration techniques to the gradient vector and multi-variable chain rule - simply being taught the equations with no background on what we're actually doing. This video answered the majority of my questions.

[LearnPhysics-xzmf]

I just can't think you enough ma'am, it's amazing, the relationship between directional derivative and gradient is just amazing, I'm just overwhelmed by the beauty of mathematics and teaching 💕💕💕

[dangargiullo]

Not even halfway through the video and I already feel like it all makes sense. By far the most helpful video I've watched on any multivar topic. Thank you SO MUCH!!!!

[student]

I solved an entire problem set of directional derivatives but didn't really know what they were about. This video helped me understand. Thank you.

[lythien]

Wowww!! It's so fascinating. Thank you for being my savior in Calculus!

[salehahmed]

Best explanation of directional derivative, now I actually understand what the directional derivative" means.Thank you

[justwatchingmathvideos]

thanks, now i see that the vector can be used in a parmetric equation. that helped a lot.

[depresso]

This is amazing. I wish this channel had more videos on multivariable calculus.

[Gebev]

Wow! I'm impressed! Great intuitive explanation! Thank you very much for your effort!

[cieloayjariluna]

I ve been trying to understand this topic for 3 hours, thank you so much

[Raynover]

Enlightening from start till end. Unbelievable! Great graph too.

[yavuzanyavuz]

clearly one of the best video( maybe the best) about these topic. Appreciated!

[jacobvandijk]

In short, the well-known partial derivate (in some point P) is just a special case of the directional derivate, using the standard-basisvectors as unit-vectors.